You can share documents with others either as Viewers or Collaborators.

Viewers:
Can see the latest version of the document, spreadsheet or presentation but can't edit, add, or delete other collaborators and viewers.*

Collaborators: Can edit and view and document, spreadsheet or presentation.* If "Collaborators may invite others" is checked, the collaborators have the ability to share the document with others.

To Share a Document*
1. From the document, click the Share tab in the upper right corner.
2. Choose Share with Others.
3. Enter the e-mail addresses of the people that you'd like to add (In this case, it will be the Gmail addresses of your group members).
4. Select whether you would like them to be viewers or collaborators (see above). If you would like your group members to be able to edit the document, you must choose Invite Collaborators.
5. If desired, add a message and click Send Invitation.

To Publish a Document*
1. From the document, click the Share tab in the upper right corner then Publish as webpage.
2. In the window that appears,click the Publish Document.
3. You can select the option to Automatically republish when changes are made (recommended). If you deselect this option, changes will not automatically be posted to the web.
4. A unique URL is generated. This URL can be distributed to anyone whom you'd like to view your document. It can also be used to link to documents from your website that you will be creating if necessary.

*Information from the Google Docs Help Center